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Bian X, Subotnik JE. Angular Momentum Transfer between a Molecular System and a Continuous Circularly Polarized Light Field within a Semiclassical Born-Oppenheimer Surface Hopping Framework. J Chem Theory Comput 2024. [PMID: 39052490 DOI: 10.1021/acs.jctc.4c00225] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/27/2024]
Abstract
We simulate semiclassically angular momentum transfer for a molecular system subject to a circularly polarized light (CPL) field either moving along a single Born-Oppenheimer (BO) surface or moving along multiple BO surfaces. Both sets of simulations are able to conserve the total angular momentum around the propagation direction of the CPL field, the former requiring a Berry force and the latter requiring a surface parametrized by both nuclear position and momentum (a so-called phase-space approach). Our results provide new insight into the nature of semiclassical nonadiabatic dynamics methods and further demonstrate the power of such methods to capture angular momentum transfer between different media, highlighting the need for accurate algorithms that conserve the total angular momentum.
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Affiliation(s)
- Xuezhi Bian
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Joseph E Subotnik
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
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Umarov O, Csehi A, Badankó P, Halász GJ, Vibók Á. Light-induced photodissociation in the lowest three electronic states of the NaH molecule. Phys Chem Chem Phys 2024; 26:7211-7223. [PMID: 38349744 DOI: 10.1039/d3cp05402k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/23/2024]
Abstract
It has been known that electronic conical intersections in a molecular system can also be created by laser light even in diatomics. The direct consequence of these light-induced degeneracies is the appearance of a strong mixing between the electronic and vibrational motions, which has a strong fingerprint on the ultrafast nuclear dynamics. In the present work, pump and probe numerical simulations are performed with the NaH molecule involving the first three singlet electronic states (X1Σ+(X), A1Σ+(A) and B1Π(B)) and several light-induced degeneracies in the numerical description. To demonstrate the impact of the multiple light-induced non-adiabatic effects together with the molecular rotation on the dynamical properties of the molecule, the dissociation probabilities, kinetic energy release spectra (KER) and the angular distributions of the photofragments were calculated by discussing the role of the permanent dipole moment as well.
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Affiliation(s)
- Otabek Umarov
- Department of Theoretical Physics, Doctoral School of Physics, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary.
- Department of Optics and Spectroscopy, Samarkand State University, University blv. 15, 140104, Samarkand, Uzbekistan
| | - András Csehi
- Department of Theoretical Physics, Doctoral School of Physics, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary.
| | - Péter Badankó
- Department of Theoretical Physics, Doctoral School of Physics, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary.
| | - Gábor J Halász
- Department of Information Technology, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary
| | - Ágnes Vibók
- Department of Theoretical Physics, Doctoral School of Physics, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary.
- ELI-ALPS, ELI-HU Non-Profit Ltd, Dugonics tér 13, H-6720 Szeged, Hungary
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Zhu X, Lu P, Lein M. Control of the Geometric Phase and Nonequivalence between Geometric-Phase Definitions in the Adiabatic Limit. PHYSICAL REVIEW LETTERS 2022; 128:030401. [PMID: 35119895 DOI: 10.1103/physrevlett.128.030401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2019] [Accepted: 11/18/2021] [Indexed: 06/14/2023]
Abstract
If the time evolution of a quantum state leads back to the initial state, a geometric phase is accumulated that is known as the Berry phase for adiabatic evolution or as the Aharonov-Anandan (AA) phase for nonadiabatic evolution. We evaluate these geometric phases using Floquet theory for systems in time-dependent external fields with a focus on paths leading through a degeneracy of the eigenenergies. Contrary to expectations, the low-frequency limits of the two phases do not always coincide. This happens as the degeneracy leads to a slow convergence of the quantum states to adiabaticity, resulting in a nonzero finite or divergent contribution to the AA phase. Steering the system adiabatically through a degeneracy provides control over the geometric phase as it can cause a π shift of the Berry phase. On the other hand, we revisit an example of degeneracy crossing proposed by AA. We find that, at suitable driving frequencies, both geometric-phase definitions give the same result and the dynamical phase is zero due to the symmetry of time evolution about the point of degeneracy, providing an advantageous setup for manipulation of quantum states.
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Affiliation(s)
- Xiaosong Zhu
- Leibniz University Hannover, Institute of Theoretical Physics, 30167 Hannover, Germany
- Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
- Optics Valley Laboratory, Hubei 430074, China
| | - Peixiang Lu
- Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
- Optics Valley Laboratory, Hubei 430074, China
| | - Manfred Lein
- Leibniz University Hannover, Institute of Theoretical Physics, 30167 Hannover, Germany
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4
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Farag MH, Mandal A, Huo P. Polariton induced conical intersection and berry phase. Phys Chem Chem Phys 2021; 23:16868-16879. [PMID: 34328152 DOI: 10.1039/d1cp00943e] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
We investigate the Polariton induced conical intersection (PICI) created from coupling a diatomic molecule with the quantized photon mode inside an optical cavity, and the corresponding Berry Phase effects. We use the rigorous Pauli-Fierz Hamiltonian to describe the quantum light-matter interactions between a LiF molecule and the cavity, and use the exact quantum propagation to investigate the polariton quantum dynamics. The molecular rotations relative to the cavity polarization direction play a role as the tuning mode of the PICI, resulting in an effective CI even within a diatomic molecule. To clearly demonstrate the dynamical effects of the Berry phase, we construct two additional models that have the same Born-Oppenheimer surface, but the effects of the geometric phase are removed. We find that when the initial wavefunction is placed in the lower polaritonic surface, the Berry phase causes a π phase-shift in the wavefunction after the encirclement around the CI, indicated from the nuclear probability distribution. On the other hand, when the initial wavefunction is placed in the upper polaritonic surface, the geometric phase significantly influences the couplings between polaritonic states and therefore, the population dynamics between them. These BP effects are further demonstrated through the photo-fragment angular distribution. PICI created from the quantized radiation field has the promise to open up new possibilities to modulate photochemical reactivities.
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Affiliation(s)
- Marwa H Farag
- Department of Chemistry, University of Rochester, 120 Trustee Road, Rochester, New York 14627, USA.
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Bouakline F, Saalfrank P. Seemingly asymmetric atom-localized electronic densities following laser-dissociation of homonuclear diatomics. J Chem Phys 2021; 154:234305. [PMID: 34241262 DOI: 10.1063/5.0049710] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Recent experiments on laser-dissociation of aligned homonuclear diatomic molecules show an asymmetric forward-backward (spatial) electron-localization along the laser polarization axis. Most theoretical models attribute this asymmetry to interference effects between gerade and ungerade vibronic states. Presumably due to alignment, these models neglect molecular rotations and hence infer an asymmetric (post-dissociation) charge distribution over the two identical nuclei. In this paper, we question the equivalence that is made between spatial electron-localization, observed in experiments, and atomic electron-localization, alluded by these theoretical models. We show that (seeming) agreement between these models and experiments is due to an unfortunate omission of nuclear permutation symmetry, i.e., quantum statistics. Enforcement of the latter requires mandatory inclusion of the molecular rotational degree of freedom, even for perfectly aligned molecules. Unlike previous interpretations, we ascribe spatial electron-localization to the laser creation of a rovibronic wavepacket that involves field-free molecular eigenstates with opposite space-inversion symmetry i.e., even and odd parity. Space-inversion symmetry breaking would then lead to an asymmetric distribution of the (space-fixed) electronic density over the forward and backward hemisphere. However, owing to the simultaneous coexistence of two indistinguishable molecular orientational isomers, our analytical and computational results show that the post-dissociation electronic density along a specified space-fixed axis is equally shared between the two identical nuclei-a result that is in perfect accordance with the principle of the indistinguishability of identical particles.
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Affiliation(s)
- Foudhil Bouakline
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Str. 24-25, D-14476 Potsdam-Golm, Germany
| | - Peter Saalfrank
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Str. 24-25, D-14476 Potsdam-Golm, Germany
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Kübel M, Spanner M, Dube Z, Naumov AY, Chelkowski S, Bandrauk AD, Vrakking MJJ, Corkum PB, Villeneuve DM, Staudte A. Probing multiphoton light-induced molecular potentials. Nat Commun 2020; 11:2596. [PMID: 32444632 PMCID: PMC7244592 DOI: 10.1038/s41467-020-16422-2] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2019] [Accepted: 04/30/2020] [Indexed: 11/09/2022] Open
Abstract
The strong coupling between intense laser fields and valence electrons in molecules causes distortions of the potential energy hypersurfaces which determine the motion of the nuclei and influence possible reaction pathways. The coupling strength varies with the angle between the light electric field and valence orbital, and thereby adds another dimension to the effective molecular potential energy surface, leading to the emergence of light-induced conical intersections. Here, we demonstrate that multiphoton couplings can give rise to complex light-induced potential energy surfaces that govern molecular behavior. In the laser-induced dissociation of H2+, the simplest of molecules, we measure a strongly modulated angular distribution of protons which has escaped prior observation. Using two-color Floquet theory, we show that the modulations result from ultrafast dynamics on light-induced molecular potentials. These potentials are shaped by the amplitude, duration and phase of the dressing fields, allowing for manipulating the dissociation dynamics of small molecules.
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Affiliation(s)
- M Kübel
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada.
- Department of Physics, Ludwig-Maximilians-Universität Munich, Am Coulombwall 1, D-85748, Garching, Germany.
- Institute for Optics and Quantum Electronics, University of Jena, Max-Wien-Platz 1, D-07743, Jena, Germany.
| | - M Spanner
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada
| | - Z Dube
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada
| | - A Yu Naumov
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada
| | - S Chelkowski
- Laboratoire de Chimie Théoretique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - A D Bandrauk
- Laboratoire de Chimie Théoretique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
| | - M J J Vrakking
- Max-Born-Institute, Max-Born-Straße 2A, D-12489, Berlin, Germany
| | - P B Corkum
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada
| | - D M Villeneuve
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada
| | - A Staudte
- Joint Attosecond Science Laboratory, National Research Council and University of Ottawa, 100 Sussex Drive, Ottawa, ON, K1A 0R6, Canada.
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Sun Z, Wang C, Zhao W, Yang C. Geometric phase effects on photodissociation dynamics of diatomics. J Chem Phys 2018; 149:224307. [PMID: 30553243 DOI: 10.1063/1.5052514] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigated the effect of the geometric phase (GP) on photodissociation dynamics at a light-induced conical intersection (LICI) through exact quantum dynamical calculations. By taking the one-photon photodissociation of H 2 + ionic molecules as an example, we explored the conditions wherein the LICI associated GP affects dissociation dynamics. We found that GP leads to a phase shift between the angular distributions of GP included and GP excluded photofragments. This effect is more pronounced when the energy of the initial vibrational level is above the energy of the LICI point.
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Affiliation(s)
- Zhaopeng Sun
- School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
| | - Chunyang Wang
- School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
| | - Wenkai Zhao
- School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
| | - Chuanlu Yang
- School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
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